10121110261 has 2 divisors, whose sum is σ = 10121110262. Its totient is φ = 10121110260.

The previous prime is 10121110231. The next prime is 10121110273. The reversal of 10121110261 is 16201112101.

10121110261 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7994148100 + 2126962161 = 89410^2 + 46119^2 .

It is an emirp because it is prime and its reverse (16201112101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10121110261 - 2¹⁹ = 10120585973 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10121110231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5060555130 + 5060555131.

It is an arithmetic number, because the mean of its divisors is an integer number (5060555131).

Almost surely, 2^10121110261 is an apocalyptic number.

It is an amenable number.

10121110261 is a deficient number, since it is larger than the sum of its proper divisors (1).

10121110261 is an equidigital number, since it uses as much as digits as its factorization.

10121110261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 10121110261 its reverse (16201112101), we get a palindrome (26322222362).

The spelling of 10121110261 in words is "ten billion, one hundred twenty-one million, one hundred ten thousand, two hundred sixty-one".